Discreteness of Curved Spacetime from GUP
Diverse theories of quantum gravity expect modifications of the Heisenberg's uncertainty principle near the Planck scale to a so-called Generalized uncertainty principle (GUP). It was shown by some authors that the GUP gives rise to corrections to the Schrodinger , Klein-Gordon, and Dirac equat...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2013/124543 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832551881584410624 |
|---|---|
| author | Ahmad Adel Abutaleb |
| author_facet | Ahmad Adel Abutaleb |
| author_sort | Ahmad Adel Abutaleb |
| collection | DOAJ |
| description | Diverse theories of quantum gravity expect modifications of the Heisenberg's uncertainty principle near the Planck scale to a so-called Generalized uncertainty principle (GUP). It was shown by some authors that the GUP gives rise to corrections to the Schrodinger , Klein-Gordon, and Dirac equations. By solving the GUP corrected equations, the authors arrived at quantization not only of energy but also of box length, area, and volume. In this paper, we extend the above results to the case of curved spacetime (Schwarzschild metric). We showed that we arrived at the quantization of space by solving Dirac equation with GUP in this metric. |
| format | Article |
| id | doaj-art-6d1ad05d36af4e9a97fbb09b67f57d99 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-6d1ad05d36af4e9a97fbb09b67f57d992025-02-03T06:00:15ZengWileyAdvances in High Energy Physics1687-73571687-73652013-01-01201310.1155/2013/124543124543Discreteness of Curved Spacetime from GUPAhmad Adel Abutaleb0Department of Mathematics, Faculty of Science, University of Mansoura, Elmansoura 35516, EgyptDiverse theories of quantum gravity expect modifications of the Heisenberg's uncertainty principle near the Planck scale to a so-called Generalized uncertainty principle (GUP). It was shown by some authors that the GUP gives rise to corrections to the Schrodinger , Klein-Gordon, and Dirac equations. By solving the GUP corrected equations, the authors arrived at quantization not only of energy but also of box length, area, and volume. In this paper, we extend the above results to the case of curved spacetime (Schwarzschild metric). We showed that we arrived at the quantization of space by solving Dirac equation with GUP in this metric.http://dx.doi.org/10.1155/2013/124543 |
| spellingShingle | Ahmad Adel Abutaleb Discreteness of Curved Spacetime from GUP Advances in High Energy Physics |
| title | Discreteness of Curved Spacetime from GUP |
| title_full | Discreteness of Curved Spacetime from GUP |
| title_fullStr | Discreteness of Curved Spacetime from GUP |
| title_full_unstemmed | Discreteness of Curved Spacetime from GUP |
| title_short | Discreteness of Curved Spacetime from GUP |
| title_sort | discreteness of curved spacetime from gup |
| url | http://dx.doi.org/10.1155/2013/124543 |
| work_keys_str_mv | AT ahmadadelabutaleb discretenessofcurvedspacetimefromgup |